Triple
T10829355
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Atiyah–Hirzebruch spectral sequence |
E255575
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | tool in algebraic topology |
C28855
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: tool in algebraic topology Context triple: [Atiyah–Hirzebruch spectral sequence, instanceOf, tool in algebraic topology]
-
A.
tool in category theory
A tool in category theory is a conceptual or formal construct—such as functors, natural transformations, limits, or adjunctions—used to analyze, relate, and systematically reason about mathematical structures and their morphisms within the categorical framework.
-
B.
tool in geometric analysis
A tool in geometric analysis is a mathematical method, concept, or construction used to study and characterize the geometric and analytic properties of spaces, shapes, and mappings.
-
C.
homological invariant
A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
-
D.
topology
Topology is the mathematical study of properties of spaces that are preserved under continuous deformations such as stretching or bending, but not tearing or gluing.
-
E.
cohomology theory
A cohomology theory is a functorial assignment of graded algebraic invariants to topological spaces (or other mathematical objects) that encodes global structural and obstruction information via axioms such as exactness and homotopy invariance.
- F. None of above. chosen
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d6aa8081448190a9324184f2bd1c26 |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:19 p.m.